Group #87669 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄	C₈₅	C₈₆	C₈₇	C₈₈	C₈₉	C₉₀	C₉₁	C₉₂	C₉₃	C₉₄	C₉₅	C₉₆	C₉₇	C₉₈	C₉₉	C₁₀₀	C₁₀₁	C₁₀₂	C₁₀₃	C₁₀₄	C₁₀₅	C₁₀₆	C₁₀₇	C₁₀₈	C₁₀₉	C₁₁₀	C₁₁₁	C₁₁₂	C₁₁₃	C₁₁₄	C₁₁₅	C₁₁₆	C₁₁₇	C₁₁₈	C₁₁₉	C₁₂₀	C₁₂₁	C₁₂₂	C₁₂₃	C₁₂₄	C₁₂₅	C₁₂₆	C₁₂₇	C₁₂₈	C₁₂₉	C₁₃₀	C₁₃₁	C₁₃₂
size	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9	1	1	2	2	2	2	2	2	2	2	9	9
order	1	2	3	6	9	9	9	18	18	18	4	4	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44	11	22	33	66	99	99	99	198	198	198	44	44
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1
χ₃	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$
χ₄	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$
χ₅	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0
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χ₁₃₂	2	-2	-1	1	ζ¹⁴+ζ⁵⁰+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹³⁰+ζ¹⁵⁸+ζ¹⁶⁶+ζ¹⁹⁴+ζ²⁰²+ζ²³⁰+ζ²³⁸+ζ²⁶⁶+ζ²⁷⁴+ζ³⁰²+ζ³¹⁰+ζ³³⁸+ζ³⁴⁶+ζ³⁸²	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁵⁰−ζ⁶²+ζ⁷⁰−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁷⁰+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴−ζ²³⁰+ζ²⁵⁰−ζ²⁶⁶−ζ²⁷⁸−ζ³⁰²−ζ³¹⁴+ζ³²²−ζ³³⁸−ζ³⁵⁰+ζ³⁵⁸−ζ³⁸⁶+ζ³⁹⁴	ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁷⁰−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶−ζ¹³⁰+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶+ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁸−ζ²⁵⁰−ζ²⁷⁴+ζ²⁷⁸−ζ³¹⁰+ζ³¹⁴−ζ³²²−ζ³⁴⁶+ζ³⁵⁰−ζ³⁵⁸−ζ³⁸²+ζ³⁸⁶−ζ³⁹⁴	−ζ¹⁴−ζ⁵⁰−ζ⁵⁸−ζ⁸⁶−ζ⁹⁴−ζ¹²²−ζ¹³⁰−ζ¹⁵⁸−ζ¹⁶⁶−ζ¹⁹⁴−ζ²⁰²−ζ²³⁰−ζ²³⁸−ζ²⁶⁶−ζ²⁷⁴−ζ³⁰²−ζ³¹⁰−ζ³³⁸−ζ³⁴⁶−ζ³⁸²	ζ¹⁴+ζ²⁶−ζ³⁴+ζ⁵⁰+ζ⁶²−ζ⁷⁰+ζ⁸⁶+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁷⁰−ζ¹⁷⁸+ζ¹⁹⁴+ζ²⁰⁶−ζ²¹⁴+ζ²³⁰−ζ²⁵⁰+ζ²⁶⁶+ζ²⁷⁸+ζ³⁰²+ζ³¹⁴−ζ³²²+ζ³³⁸+ζ³⁵⁰−ζ³⁵⁸+ζ³⁸⁶−ζ³⁹⁴	−ζ²⁶+ζ³⁴+ζ⁵⁸−ζ⁶²+ζ⁷⁰+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹³⁰−ζ¹³⁴+ζ¹⁴²+ζ¹⁶⁶−ζ¹⁷⁰+ζ¹⁷⁸+ζ²⁰²−ζ²⁰⁶+ζ²¹⁴+ζ²³⁸+ζ²⁵⁰+ζ²⁷⁴−ζ²⁷⁸+ζ³¹⁰−ζ³¹⁴+ζ³²²+ζ³⁴⁶−ζ³⁵⁰+ζ³⁵⁸+ζ³⁸²−ζ³⁸⁶+ζ³⁹⁴	0	0	2ζ³⁰+2ζ²⁹⁴	−2ζ³⁰−2ζ²⁹⁴	−ζ³⁰−ζ²⁹⁴	ζ³⁰+ζ²⁹⁴	−ζ³³⁸−ζ³⁸²	ζ²⁰⁶−ζ²⁵⁰+ζ³³⁸	−ζ²⁰⁶+ζ²⁵⁰+ζ³⁸²	ζ³³⁸+ζ³⁸²	−ζ²⁰⁶+ζ²⁵⁰−ζ³³⁸	ζ²⁰⁶−ζ²⁵⁰−ζ³⁸²	0	0	2ζ²⁵⁸+2ζ³⁹⁰	−2ζ²⁵⁸−2ζ³⁹⁰	−ζ²⁵⁸−ζ³⁹⁰	ζ²⁵⁸+ζ³⁹⁰	−ζ³⁰²−ζ³⁴⁶	ζ¹⁷⁰−ζ²¹⁴+ζ³⁰²	−ζ¹⁷⁰+ζ²¹⁴+ζ³⁴⁶	ζ³⁰²+ζ³⁴⁶	−ζ¹⁷⁰+ζ²¹⁴−ζ³⁰²	ζ¹⁷⁰−ζ²¹⁴−ζ³⁴⁶	0	0	2ζ²²²+2ζ³⁵⁴	−2ζ²²²−2ζ³⁵⁴	−ζ²²²−ζ³⁵⁴	ζ²²²+ζ³⁵⁴	−ζ²⁶⁶−ζ³¹⁰	ζ¹³⁴−ζ¹⁷⁸+ζ²⁶⁶	−ζ¹³⁴+ζ¹⁷⁸+ζ³¹⁰	ζ²⁶⁶+ζ³¹⁰	−ζ¹³⁴+ζ¹⁷⁸−ζ²⁶⁶	ζ¹³⁴−ζ¹⁷⁸−ζ³¹⁰	0	0	2ζ¹⁸⁶+2ζ³¹⁸	−2ζ¹⁸⁶−2ζ³¹⁸	−ζ¹⁸⁶−ζ³¹⁸	ζ¹⁸⁶+ζ³¹⁸	−ζ²³⁰−ζ²⁷⁴	ζ⁹⁸−ζ¹⁴²+ζ²³⁰	−ζ⁹⁸+ζ¹⁴²+ζ²⁷⁴	ζ²³⁰+ζ²⁷⁴	−ζ⁹⁸+ζ¹⁴²−ζ²³⁰	ζ⁹⁸−ζ¹⁴²−ζ²⁷⁴	0	0	2ζ¹⁵⁰+2ζ²⁸²	−2ζ¹⁵⁰−2ζ²⁸²	−ζ¹⁵⁰−ζ²⁸²	ζ¹⁵⁰+ζ²⁸²	−ζ¹⁹⁴−ζ²³⁸	ζ⁶²−ζ¹⁰⁶+ζ¹⁹⁴	−ζ⁶²+ζ¹⁰⁶+ζ²³⁸	ζ¹⁹⁴+ζ²³⁸	−ζ⁶²+ζ¹⁰⁶−ζ¹⁹⁴	ζ⁶²−ζ¹⁰⁶−ζ²³⁸	0	0	2ζ¹¹⁴+2ζ²⁴⁶	−2ζ¹¹⁴−2ζ²⁴⁶	−ζ¹¹⁴−ζ²⁴⁶	ζ¹¹⁴+ζ²⁴⁶	−ζ¹⁵⁸−ζ²⁰²	ζ²⁶−ζ⁷⁰+ζ¹⁵⁸	−ζ²⁶+ζ⁷⁰+ζ²⁰²	ζ¹⁵⁸+ζ²⁰²	−ζ²⁶+ζ⁷⁰−ζ¹⁵⁸	ζ²⁶−ζ⁷⁰−ζ²⁰²	0	0	2ζ⁷⁸+2ζ²¹⁰	−2ζ⁷⁸−2ζ²¹⁰	−ζ⁷⁸−ζ²¹⁰	ζ⁷⁸+ζ²¹⁰	−ζ¹²²−ζ¹⁶⁶	−ζ³⁴+ζ¹²²+ζ³⁸⁶	ζ³⁴+ζ¹⁶⁶−ζ³⁸⁶	ζ¹²²+ζ¹⁶⁶	ζ³⁴−ζ¹²²−ζ³⁸⁶	−ζ³⁴−ζ¹⁶⁶+ζ³⁸⁶	0	0	2ζ⁴²+2ζ¹⁷⁴	−2ζ⁴²−2ζ¹⁷⁴	−ζ⁴²−ζ¹⁷⁴	ζ⁴²+ζ¹⁷⁴	−ζ⁸⁶−ζ¹³⁰	ζ⁸⁶+ζ³⁵⁰−ζ³⁹⁴	ζ¹³⁰−ζ³⁵⁰+ζ³⁹⁴	ζ⁸⁶+ζ¹³⁰	−ζ⁸⁶−ζ³⁵⁰+ζ³⁹⁴	−ζ¹³⁰+ζ³⁵⁰−ζ³⁹⁴	0	0	2ζ⁶+2ζ¹³⁸	−2ζ⁶−2ζ¹³⁸	−ζ⁶−ζ¹³⁸	ζ⁶+ζ¹³⁸	−ζ⁵⁰−ζ⁹⁴	ζ⁵⁰+ζ³¹⁴−ζ³⁵⁸	ζ⁹⁴−ζ³¹⁴+ζ³⁵⁸	ζ⁵⁰+ζ⁹⁴	−ζ⁵⁰−ζ³¹⁴+ζ³⁵⁸	−ζ⁹⁴+ζ³¹⁴−ζ³⁵⁸	0	0	2ζ¹⁰²+2ζ³⁶⁶	−2ζ¹⁰²−2ζ³⁶⁶	−ζ¹⁰²−ζ³⁶⁶	ζ¹⁰²+ζ³⁶⁶	−ζ¹⁴−ζ⁵⁸	ζ¹⁴+ζ²⁷⁸−ζ³²²	ζ⁵⁸−ζ²⁷⁸+ζ³²²	ζ¹⁴+ζ⁵⁸	−ζ¹⁴−ζ²⁷⁸+ζ³²²	−ζ⁵⁸+ζ²⁷⁸−ζ³²²	0	0

Here ζ is a primitive root of unity of order 396 (ζ³⁹⁶ = 1); i = ζ⁹⁹.

Character table — Group #87669